What is the Least Common Multiple of 3149 and 3168?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 3149 and 3168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3149 and 3168, than apply into the LCM equation.

GCF(3149,3168) = 1
LCM(3149,3168) = ( 3149 × 3168) / 1
LCM(3149,3168) = 9976032 / 1
LCM(3149,3168) = 9976032

Least Common Multiple (LCM) of 3149 and 3168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3149 and 3168. First we will calculate the prime factors of 3149 and 3168.

Prime Factorization of 3149

Prime Factorization of 3168

Now multiplying the highest exponent prime factors to calculate the LCM of 3149 and 3168.

LCM(3149,3168) = 47¹ × 67¹ × 2⁵ × 3² × 11¹
LCM(3149,3168) = 9976032